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Algebras of Holomorphic Functions and Control Theory - (Dover Books on Mathematics) by Amol Sasane

Algebras of Holomorphic Functions and Control Theory - (Dover Books on Mathematics) by  Amol Sasane - image 1 of 1
Algebras of Holomorphic Functions and Control Theory - (Dover Books on Mathematics) by  Amol Sasane - image 1 of 1
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Specifications

Number of Pages: 140

Genre: Mathematics

Sub-Genre: Algebra

Series Title: Dover Books on Mathematics

Format: Paperback

Publisher: Dover Publications

Book theme: General

Author: Amol Sasane

Language: English

Street Date: August 1, 2009
TCIN: 78566850
UPC: 9780486474656
Item Number (DPCI): 247-34-7745

Description

This accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the solution of an important engineering problem: the stabilization of a linear control system. Its concise and self-contained treatment avoids the use of higher mathematics and forms a bridge to more advanced treatments.
The treatment consists of two components: the algebraic framework, which serves as the abstract language for posing and solving the problem of stabilization; and the analysis component, which examines properties of specific rings of holomorphic functions. Elementary, self-contained, and constructive proofs elucidate the explorations of rings of holomorphic functions relevant in control theory. Introductory chapters on control theory and stable transfer functions are followed by surveys of unstable plants and the stabilization problem and its solution. The text concludes with suggestions for further reading and a bibliography.
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